Three, four and five-dimensional fullerenes
| dc.creator | Deza, M. | |
| dc.creator | Shtogrin, M. I. | |
| dc.date | 1999-06-06 | |
| dc.date.accessioned | 2026-07-07T05:29:23Z | |
| dc.date.available | 2026-07-07T05:29:23Z | |
| dc.description | We explore some generalizations of fullerenes F_v (simple polyhedra with v vertices and only 5- and 6-gonal faces) seen as (d-1)-dimensional simple manifolds (preferably, spherical or polytopal) with only 5- and 6-gonal 2-faces. First, finite and planar (infinite) 3-fullerenes are described. Three infinite families of spherical 4-fullerenes are presented in Constructions A,B,C. The Construction A gives 4-polytopes by suitable insertion of fullerenes F_{30}(D_{5h}) into glued 120-cells. The Construction B gives 3-spheres by growing dodecahedra and barrels F_{24} around of given fullerene. The Construction C gives 4-fullerenes from special decoration of given 4-fullerene, which add facets F_{20}, F_{24}, F_{26} and F_{28}(T_d) only. Some 5-fullerenes are obtained, by a variation of gluing of two regular tilings {5333} of hyperbolic 4-space or of their suitable quotients. | |
| dc.description | 10 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/9906035 | |
| dc.identifier | http://arxiv.org/abs/math/9906035 | |
| dc.identifier | Southeast Asian Bulletin of Mathematics (1999) 23: 1-10 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78618 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.title | Three, four and five-dimensional fullerenes | |
| dc.type | text |